Multilinear Marcinkiewicz-Zygmund inequalities
We extend to the multilinear setting classical inequalities of Marcinkiewicz and Zygmund on (Formula presented.)-valued extensions of linear operators. We show that for certain (Formula presented.), there is a constant (Formula presented.) such that for every bounded multilinear operator (Formula pr...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/61627 |
| Acceso en línea: | http://hdl.handle.net/11336/61627 |
| Access Level: | acceso abierto |
| Palabra clave: | CalderÓN-Zygmund Operators Multilinear Operators Vector-Valued Inequalities https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We extend to the multilinear setting classical inequalities of Marcinkiewicz and Zygmund on (Formula presented.)-valued extensions of linear operators. We show that for certain (Formula presented.), there is a constant (Formula presented.) such that for every bounded multilinear operator (Formula presented.) and functions (Formula presented.), the following inequality holds (Formula presented.)In some cases we also calculate the best constant (Formula presented.) satisfying the previous inequality. We apply these results to obtain weighted vector-valued inequalities for multilinear Calderón-Zygmund operators. |
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